EduSahara™ Worksheet

Question 1

1.

In the given figure, if GH ∥ IJ then

(i)

△KHG ∼ △KJI
(ii)

△KGH ∼ △KIJ
(iii)

△GHK ∼ △JIK
(iv)

△GHK ∼ △KIJ
(v)

△GHK ∼ △KJI

Question 2

2.

In the given figure, PQ ∥ IJ , and median HK bisects PQ.

If HK = 15.8 cm, HJ = 16 cm and HL = 10.53 cm, LK =

(i)

4.27 cm
(ii)

3.27 cm
(iii)

5.27 cm
(iv)

7.27 cm
(v)

6.27 cm

Question 3

3.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠FAC =

(i)

∠HFE
(ii)

∠HAB
(iii)

∠FEH
(iv)

∠AFD
(v)

∠FDA

Question 4

4.

If the ratio of the bases of two triangles is M : N and the ratio of the corresponding heights is O : P , the ratio of their areas in the same order is

(i)

NO : MP
(ii)

MN : OP
(iii)

OP : MN
(iv)

MO : NP
(v)

MP : NO

Question 5

5.

In the given figure, △BCD is right-angled at C. Also, CE ⟂ BD. Which of the following are true?

a)

BC

2
=
BD
.
BE

b)

CD

2
=
DB
.
DE

c)

CE

2
=
BE
.
ED

d)

CD

2
=
BD
.
BE

e)

BC

2
=
DB
.
DE

(i)

{a,b,c}
(ii)

{e,b}
(iii)

{d,a}
(iv)

{d,e,c}
(v)

{d,a,b}

Question 6

6.

A triangle having an area 17.89 sq.cm is reduced such that the area of its image is 5.61 sq.cm. Find the scale factor.

(i)

0.56
(ii)

8.56
(iii)

2.56
(iv)

1.56
(v)

7.56

Question 7

7.

In the given figure, △KLM is isosceles right-angled at L and LN ⟂ MK. ∠K =

(i)

∠L
(ii)

∠N
(iii)

∠M
(iv)

∠P
(v)

∠O

Question 8

8.

In the given figure, △FGH is right-angled at G. Also, GI ⟂ FH. If FG = 20 cm, GH = 17 cm, then find GI.

(i)

14.95 cm
(ii)

10.95 cm
(iii)

12.95 cm
(iv)

13.95 cm
(v)

11.95 cm

Question 9

9.

Identify the property by which the two given triangles are similar

(i)

SAS Similarity
(ii)

SSS Similarity
(iii)

AAA Similarity
(iv)

not similar

Question 10

10.

In the given figure, given ∠IFG = ∠HFI, x : y = 9 cm : 10 cm and p = 18 cm, find q =

(i)

21.00 cm
(ii)

22.00 cm
(iii)

19.00 cm
(iv)

20.00 cm
(v)

18.00 cm

Question 11

11.

In the given figure, △EFG ∼ △OPQ and EF = 15 cm, OP = 21 cm.

(i)

157.09 sq.cm
(ii)

158.09 sq.cm
(iii)

155.09 sq.cm
(iv)

154.09 sq.cm
(v)

156.09 sq.cm

Question 12

12.

In the given figure, the altitudes UI and JV of △HIJ meet at T. △TIJ ∼

(i)

△TVU
(ii)

△VIT
(iii)

△UJI
(iv)

△UJT
(v)

△VIJ

Question 13

13.

△ABC is a triangle with sides BC = 14 cm, CA = 15 cm and AB = 13 cm. △ABC is enlarged to △A'B'C' such that the smallest side of △A'B'C' is 26 cm. Find the corresponding lengths of the enlarged triangle △A'B'C'.

(i)

30 cm, 32 cm, 28 cm
(ii)

27 cm, 29 cm, 25 cm
(iii)

29 cm, 31 cm, 27 cm
(iv)

26 cm, 28 cm, 24 cm
(v)

28 cm, 30 cm, 26 cm

Question 14

14.

In the given two similar triangles, if e = 18 cm, f = 20 cm, g = 17 cm, i = 12 cm, find j

(i)

10.20 cm
(ii)

8.20 cm
(iii)

12.20 cm
(iv)

11.20 cm
(v)

9.20 cm

Question 15

15.

In the given figure, given ∠HEF = ∠GEH, p = 8.44 cm, q = 7.56 cm and FG = 16 cm, find HG =

(i)

6.56 cm
(ii)

7.56 cm
(iii)

9.56 cm
(iv)

5.56 cm
(v)

8.56 cm

Question 16

16.

A model of a ship is made to a scale of 1 : 185. If the area of the deck of the ship is 2772225 sq.m, calculate the area of the deck of the model ship.

(i)

86.00 sq.m
(ii)

84.00 sq.m
(iii)

81.00 sq.m
(iv)

78.00 sq.m
(v)

76.00 sq.m

Question 17

17.

In the given figure, F and G are points on the sides CD and CE respectively of △CDE.For which of the following cases, FG ∥ DE

a)	CD = 17 cm, FD = 9.71 cm, CG = 10.14 cm and CE = 19 cm
b)	CD = 17 cm, FD = 9.71 cm, CE = 19 cm and CG = 8.14 cm
c)	CF = 7.29 cm, FD = 9.71 cm, CG = 8.14 cm and GE = 10.86 cm
d)	CD = 17 cm, CF = 9.29 cm, CE = 19 cm and GE = 10.86 cm

(i)

{a,c,b}
(ii)

{b,c}
(iii)

{a,d,b}
(iv)

{d,c}
(v)

{a,b}

Question 18

18.

AB = 16.00 cm, BC = 13.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 9000. Calculate the area of the field.

(i)

3.68 sq.km
(ii)

1.68 sq.km
(iii)

2.68 sq.km
(iv)

0.68 sq.km
(v)

9.68 sq.km

Question 19

19.

A rectangle having an area 112.00 sq.cm is reduced such that the area of its image is 3.24 sq.cm. Find the scale factor.

(i)

0.17
(ii)

2.17
(iii)

1.17
(iv)

7.17
(v)

8.17

Question 20

20.

Identify the property by which the two given triangles are similar

(i)

SSS Similarity
(ii)

not similar
(iii)

AAA Similarity
(iv)

SAS Similarity

Question 21

21.

A model of building is made with a scale factor of 1 : 50. Find the actual height of the building if the height of the model is 3.5 cm.

(i)

9.75 m
(ii)

0.75 m
(iii)

3.75 m
(iv)

1.75 m
(v)

2.75 m

Question 22

22.

In the given figure, the parallelogram IJKL and the triangle △MIJ are on the same bases and between the same parallels.

The area of the
△MIJ
is x sq.cm. The area of the parallelogram is

(i)
thrice

the area of the triangle
(ii)
5
4

the area of the triangle
(iii)
4
3

the area of the triangle
(iv)
3
2

the area of the triangle
(v)
twice

the area of the triangle

Question 23

23.

A model of a ship is made to a scale of 1 : 100. If the volume of the model ship is 2744 cu.m, calculate the volume of the ship.

(i)

3344000000.00 cu.m
(ii)

2744000000.00 cu.m
(iii)

649032704.00 cu.m
(iv)

944000000.00 cu.m
(v)

4538967296.00 cu.m

Question 24

24.

In the given figure,
MN
∥
KL
.

(i)

4.53 cm
(ii)

5.53 cm
(iii)

3.53 cm
(iv)

6.53 cm
(v)

2.53 cm

Question 25

25.

The dimensions of the model of a multi-storey building are 3.5 cm ✕ 6.5 cm ✕ 9.5 cm. If the model is drawn to a scale of 1 : 185, find the volume of the room in the model whose actual volume is 170.9539 cu.m.

(i)

30.00 cu.cm
(ii)

27.00 cu.cm
(iii)

22.00 cu.cm
(iv)

32.00 cu.cm
(v)

24.00 cu.cm

Assignment Key